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Finding the Fourth Proportional to 290,774.40, 436,160.16 and 77,541.84

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Solution

The fourth proportional to 290,774.40, 436,160.16 and 77,541.84 is: 116,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,774.40 : 436,160.16 = 77,541.84 : x
  2. Step 2: Convert to fraction form
    290,774.40/436,160.16 = 77,541.84/x
  3. Step 3: Cross multiply
    290,774.40x = 436,160.16 × 77,541.84
  4. Step 4: Simplify right side
    290,774.40x = 33,820,661,341.09
  5. Step 5: Solve for x
    x = 33,820,661,341.09/290,774.40
  6. Step 6: Final answer
    x = 116,312.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.